This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
documentation:ref:diracorder [2015/11/20 19:54] poslavskysv [Examples] |
documentation:ref:diracorder [2015/11/20 20:05] poslavskysv [Description] |
||
|---|---|---|---|
| Line 11: | Line 11: | ||
| * One can directly set trace of identity matrix (e.g. for dimensional regularisation): ''%% DiracOrder[[Dimension: D, TraceOfOne: 4]]%%'' | * One can directly set trace of identity matrix (e.g. for dimensional regularisation): ''%% DiracOrder[[Dimension: D, TraceOfOne: 4]]%%'' | ||
| - | * By default ''DiracOrder'' uses notation ''G_m'' for $\gamma_m$ and ''G5'' for $\gamma_5$. ''%% DiracOrder[[Gamma: G, Gamma5: G5]]%%'' specifies the notation for $\gamma_m$, $\gamma_5$ and Levi-Civita tensor. | + | * By default ''DiracOrder'' uses notation ''G_m'' for $\gamma_m$ and ''G5'' for $\gamma_5$. ''%% DiracOrder[[Gamma: G, Gamma5: G5]]%%'' specifies the notation for $\gamma_m$ and $\gamma_5$. |
| ====Examples==== | ====Examples==== | ||
| Line 32: | Line 32: | ||
| -2*G_{a}*G_{b}*g_{cd}+4*g_{ab}*g_{cd} | -2*G_{a}*G_{b}*g_{cd}+4*g_{ab}*g_{cd} | ||
| </sxh> | </sxh> | ||
| + | |||
| + | ---- | ||
| + | All $\gamma_5$ will be shift right: | ||
| + | <sxh groovy; gutter: true> | ||
| + | defineMatrices 'G_a', 'G5', Matrix1.matrix | ||
| + | def dOrder = DiracOrder | ||
| + | println dOrder >> 'G5*G_b*G_a'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > 2*G5*g_{ba}-G_{a}*G_{b}*G5 | ||
| + | </sxh> | ||
| + | |||
| ---- | ---- | ||
| Line 44: | Line 56: | ||
| </sxh> | </sxh> | ||
| + | |||
| + | ====See also==== | ||
| + | * Related guides: [[documentation:guide:applying_and_manipulating_transformations]], [[documentation:guide:Setting up matrix objects]], [[documentation:guide:list_of_transformations]] | ||
| + | * Related transformations: [[documentation:ref:DiracSimplify]], [[documentation:ref:DiracTrace]], [[documentation:ref:SpinorsSimplify]] | ||
| + | * JavaDocs: [[http://api.redberry.cc/redberry/1.1.8/java-api//cc/redberry/physics/feyncalc/DiracOrderTransformation.html| DiracOrderTransformation]] | ||
| + | * Source code: [[https://bitbucket.org/redberry/redberry/src/tip/physics/src/main/java/cc/redberry/physics/feyncalc/DiracOrderTransformation.java|DiracOrderTransformation.java]] | ||